65822857632 has 480 divisors, whose sum is σ = 238613316480. Its totient is φ = 17378426880.

The previous prime is 65822857631. The next prime is 65822857643. The reversal of 65822857632 is 23675822856.

It is a happy number.

65822857632 is a `hidden beast` number, since 6 + 582 + 2 + 8 + 57 + 6 + 3 + 2 = 666.

It is a super-3 number, since 3×65822857632³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (65822857631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14131848 + ... + 14136504.

It is an arithmetic number, because the mean of its divisors is an integer number (497111076).

Almost surely, 2^65822857632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65822857632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119306658240).

65822857632 is an abundant number, since it is smaller than the sum of its proper divisors (172790458848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65822857632 is a wasteful number, since it uses less digits than its factorization.

65822857632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4729 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 65822857632 in words is "sixty-five billion, eight hundred twenty-two million, eight hundred fifty-seven thousand, six hundred thirty-two".